• 82597² = 6822264409 is an anagram of the next square 82598² = 6822429604.

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82597 has 4 divisors (see below), whose sum is σ = 83296. Its totient is φ = 81900.

The previous prime is 82591. The next prime is 82601. The reversal of 82597 is 79528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82597 - 2⁷ = 82469 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (20824).

2⁸²⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

82597 is a deficient number, since it is larger than the sum of its proper divisors (699).

82597 is a wasteful number, since it uses less digits than its factorization.

82597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its digits is 5040, while the sum is 31.

The square root of 82597 is about 287.3969380491. The cubic root of 82597 is about 43.5499931676.

Adding to 82597 its sum of digits (31), we get a palindrome (82628).

The spelling of 82597 in words is "eighty-two thousand, five hundred ninety-seven".